Finding the Third Proportional to 142,695 and 221,256

Step by Step Solution

1. Step 1: Write the proportion equation
   142,695 : 221,256 = 221,256 : x
2. Step 2: Convert to fraction form
   142,695/221,256 = 221,256/x
3. Step 3: Cross multiply
   142,695x = 221,256 × 221,256
4. Step 4: Simplify right side
   142,695x = 48,954,217,536
5. Step 5: Solve for x
   x = 48,954,217,536/142,695
6. Step 6: Final answer
   x = 343,068.91